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Finding the Third Proportional to 118,712 and 184,876

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Solution

The third proportional to 118,712 and 184,876 is: 287,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,712 : 184,876 = 184,876 : x
  2. Step 2: Convert to fraction form
    118,712/184,876 = 184,876/x
  3. Step 3: Cross multiply
    118,712x = 184,876 × 184,876
  4. Step 4: Simplify right side
    118,712x = 34,179,135,376
  5. Step 5: Solve for x
    x = 34,179,135,376/118,712
  6. Step 6: Final answer
    x = 287,916.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.